Answer:
m∠W = 125°
m∠X = 55°
m∠Z = 55°
Step-by-step explanation:
The explanation of angle measures is shown below:-
The shape which is parallelogram WXYZ. m∠Y = 125
A parallelogram represents the shape of quadrilateral in which both opposite sides and opposite angles are similar to each other. One parallelogram diagonals bisect each other. Consecutive angles are also supplementary to a parallelogram.
In WXYZ parallelogram is there
m∠Z + m∠Y = 180° is an angle of Consecutive in a parallelogram is supplementary
m ∠ Z + 125 = 180
m ∠ Z = 180 - 125
m ∠ Z = 55°
m ∠ W which equals to m∠Y where equal angles are Opposite
m∠W = 125°
m ∠ W + m ∠ X = 180°
which is the angle of Consecutive in a parallelogram called supplementary)
m ∠ X + 125 = 180
m ∠ X = 180 - 125
After solving the above equation we will get
m ∠ X = 55°
